64961640495360 has 864 divisors, whose sum is σ = 259606288730880. Its totient is φ = 14690377728000.

The previous prime is 64961640495289. The next prime is 64961640495449. The reversal of 64961640495360 is 6359404616946.

64961640495360 is a `hidden beast` number, since 6 + 4 + 9 + 6 + 16 + 40 + 49 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16525472595 + ... + 16525476525.

Almost surely, 2^{64961640495360} is an apocalyptic number.

64961640495360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64961640495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129803144365440).

64961640495360 is an abundant number, since it is smaller than the sum of its proper divisors (194644648235520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64961640495360 is a wasteful number, since it uses less digits than its factorization.

64961640495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 64961640495360 in words is "sixty-four trillion, nine hundred sixty-one billion, six hundred forty million, four hundred ninety-five thousand, three hundred sixty".